8080000090800 has 240 divisors, whose sum is σ = 28494977871360. Its totient is φ = 1940817024000.

The previous prime is 8080000090783. The next prime is 8080000090817. The reversal of 8080000090800 is 80900000808.

It is an interprime number because it is at equal distance from previous prime (8080000090783) and next prime (8080000090817).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369096 + ... + 4246695.

It is an arithmetic number, because the mean of its divisors is an integer number (118729074464).

Almost surely, 2^{8080000090800} is an apocalyptic number.

8080000090800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8080000090800 is an abundant number, since it is smaller than the sum of its proper divisors (20414977780560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8080000090800 is a wasteful number, since it uses less digits than its factorization.

8080000090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615932 (or 5615921 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 8080000090800 in words is "eight trillion, eighty billion, ninety thousand, eight hundred".